Finding the Fourth Proportional to 2,085.93, 3,129.57 and 787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.93 : 3,129.57 = 787.50 : x
2. Step 2: Convert to fraction form
   2,085.93/3,129.57 = 787.50/x
3. Step 3: Cross multiply
   2,085.93x = 3,129.57 × 787.50
4. Step 4: Simplify right side
   2,085.93x = 2,464,536.38
5. Step 5: Solve for x
   x = 2,464,536.38/2,085.93
6. Step 6: Final answer
   x = 1,181.50